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Finding the Fourth Proportional to 30,201.30, 45,295.76 and 11,474.78

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Solution

The fourth proportional to 30,201.30, 45,295.76 and 11,474.78 is: 17,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.30 : 45,295.76 = 11,474.78 : x
  2. Step 2: Convert to fraction form
    30,201.30/45,295.76 = 11,474.78/x
  3. Step 3: Cross multiply
    30,201.30x = 45,295.76 × 11,474.78
  4. Step 4: Simplify right side
    30,201.30x = 519,758,597.08
  5. Step 5: Solve for x
    x = 519,758,597.08/30,201.30
  6. Step 6: Final answer
    x = 17,209.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.